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Finding the Fourth Proportional to 1,194.25, 1,789.29 and 829.27

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Solution

The fourth proportional to 1,194.25, 1,789.29 and 829.27 is: 1,242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.25 : 1,789.29 = 829.27 : x
  2. Step 2: Convert to fraction form
    1,194.25/1,789.29 = 829.27/x
  3. Step 3: Cross multiply
    1,194.25x = 1,789.29 × 829.27
  4. Step 4: Simplify right side
    1,194.25x = 1,483,804.52
  5. Step 5: Solve for x
    x = 1,483,804.52/1,194.25
  6. Step 6: Final answer
    x = 1,242.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.